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2240303104 = 2121342073
BaseRepresentation
bin1000010110001000…
…0101000000000000
312210010112012010001
42011202011000000
514042004144404
61010145245344
7106342155634
oct20542050000
95703465101
102240303104
11a4a657976
12526333854
132991a3150
1417376cdc4
15d1a2d7a4
hex85885000

2240303104 has 52 divisors (see below), whose sum is σ = 4824793876. Its totient is φ = 1033961472.

The previous prime is 2240303069. The next prime is 2240303113. The reversal of 2240303104 is 4013030422.

It can be written as a sum of positive squares in 2 ways, for example, as 175509504 + 2064793600 = 13248^2 + 45440^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32212 + ... + 74284.

Almost surely, 22240303104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412396938).

2240303104 is an abundant number, since it is smaller than the sum of its proper divisors (2584490772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240303104 is an equidigital number, since it uses as much as digits as its factorization.

2240303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42110 (or 42088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2240303104 is about 47331.8402769214. The cubic root of 2240303104 is about 1308.4855376806.

Adding to 2240303104 its reverse (4013030422), we get a palindrome (6253333526).

The spelling of 2240303104 in words is "two billion, two hundred forty million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 26624 42073 53248 84146 168292 336584 546949 673168 1093898 1346336 2187796 2692672 4375592 5385344 8751184 10770688 17502368 21541376 35004736 43082752 70009472 86165504 140018944 172331008 280037888 560075776 1120151552 2240303104